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Couloumb's Law Problem

  1. Apr 12, 2012 #1
    Two identical particles, each having charge +q, are fixed in space and separated by a distance d. A third particle with charge −Q is free to move and lies initially at rest on the perpendicular bisector of the two fixed charges a distance x from the midpoint between those charges (see figure below).

    (a) Show that if x is small compared with d, the motion of −Q is simple harmonic along the perpendicular bisector. (Do this on paper. Your instructor may ask you to turn in this work.)

    There is more to this problem but the first question I dont even know what is asking.

    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 12, 2012 #2
    Also, just looked at the second two questions, don't know where to start...
    (b) Determine the period of that motion. (Use the following as necessary: π, q, Q, m for the mass of charge Q, d, and ke.)
    T =

    (c) How fast will the charge −Q be moving when it is at the midpoint between the two fixed charges if initially it is released at a distance a << d from the midpoint? (Use the following as necessary: π, q, Q, m for the mass of charge Q, d, and ke.)
     
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